Answer:
a=1.29 approx
Step-by-step explanation:
Answer:
Angle A is 37 degrees, Angle B is 82 degrees, Angle C is 61 degrees
Step-by-step explanation:
Exterior angles are the supplement of interior angles, so subtract 143 from 180 to find Angle A.
180 - 143 = 37
All angles add up to 180.
37 + 61 = 98
180 - 98 = 82
Angle B is 82 degrees.
Hope this helped. :)
Answer:
450cm²
Step-by-step explanation:
The area of the kite is made up of two pairs of congruent triangles. Find the area of these and add to get the kite's area. (area of triangle = (1/2)(base)height))
2(0.5*15*20)+2(0.5*15*10)
300+150
450
<span><span>L
* W = 300 sq ft
</span><span>
Length is 10 ft greater than twice the width.
L = 2W + 10
Substituting
(2W+10)*W = 300
2W^2 + 10W = 300
Divide both sides by 2
W^2 + 5W = 150
W^2 + 5W - 150 = 0
Factor
(W +15)(W -10) = 0</span></span>
<span>
<span>
Roots are W=-15 and W=10.
A negative width is impossible, so W=10
L = 2W + 10
L = 2(10) + 10
L = 30</span></span>
length = 30 feet, width = 10 feet
<span> Check:
30*10 = 300</span>
Answer: he collected 22 quarters and 8 fifty-cent pieces
Step-by-step explanation:
Given;
The total amount of money he is to collect is;
A = 20 - 10.50 = $9.50
Let x represent the number of quarter he collected.
Then the number of fifty-cent pieces he collected will be; 30-x
Therefore we can represent it with the equation below;
0.25x + 0.50(30-x) = 9.50
0.25x + 15 - 0.50x = 9.50
0.25x = 15-9.50
x = (15-9.50)/0.25
x = 5.50/0.25
x = 22
The number of fifty-cent is equal to;
30-x = 30-22 = 8
Therefore, he collected 22 quarters and 8 fifty-cent pieces
